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What is the Least Common Multiple of 68848 and 68866?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 68848 and 68866 is 2370643184.

LCM(68848,68866) = 2370643184

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Least Common Multiple of 68848 and 68866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68848 and 68866, than apply into the LCM equation.

GCF(68848,68866) = 2
LCM(68848,68866) = ( 68848 × 68866) / 2
LCM(68848,68866) = 4741286368 / 2
LCM(68848,68866) = 2370643184

Least Common Multiple (LCM) of 68848 and 68866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68848 and 68866. First we will calculate the prime factors of 68848 and 68866.

Prime Factorization of 68848

Prime factors of 68848 are 2, 13, 331. Prime factorization of 68848 in exponential form is:

68848 = 24 × 131 × 3311

Prime Factorization of 68866

Prime factors of 68866 are 2, 7, 4919. Prime factorization of 68866 in exponential form is:

68866 = 21 × 71 × 49191

Now multiplying the highest exponent prime factors to calculate the LCM of 68848 and 68866.

LCM(68848,68866) = 24 × 131 × 3311 × 71 × 49191
LCM(68848,68866) = 2370643184